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2023130148 = 2231361433491
BaseRepresentation
bin111100010010110…
…1000010000100100
312012222212122211020
41320211220100210
513120410131043
6532430411140
7101064215424
oct17045502044
95188778736
102023130148
11949005696
12485660ab0
132631b5440
1415299a484
15bc930e83
hex78968424

2023130148 has 96 divisors (see below), whose sum is σ = 5189584512. Its totient is φ = 609638400.

The previous prime is 2023130147. The next prime is 2023130159. The reversal of 2023130148 is 8410313202.

It is not an unprimeable number, because it can be changed into a prime (2023130147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4120183 + ... + 4120673.

It is an arithmetic number, because the mean of its divisors is an integer number (54058172).

Almost surely, 22023130148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023130148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594792256).

2023130148 is an abundant number, since it is smaller than the sum of its proper divisors (3166454364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023130148 is a wasteful number, since it uses less digits than its factorization.

2023130148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2023130148 is about 44979.2190683653. The cubic root of 2023130148 is about 1264.7594720449.

The spelling of 2023130148 in words is "two billion, twenty-three million, one hundred thirty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 433 491 732 793 866 982 1299 1473 1586 1732 1964 2379 2598 2946 3172 4758 5196 5629 5892 6383 9516 11258 12766 16887 19149 22516 25532 26413 29951 33774 38298 52826 59902 67548 76596 79239 89853 105652 119804 158478 179706 212603 316956 343369 359412 389363 425206 637809 686738 778726 850412 1030107 1168089 1275618 1373476 1557452 2060214 2336178 2551236 2763839 4120428 4672356 5527678 8291517 11055356 12968783 16583034 25937566 33166068 38906349 51875132 77812698 155625396 168594179 337188358 505782537 674376716 1011565074 2023130148